IDNLearn.com is designed to help you find the answers you need quickly and easily. Get accurate and timely answers to your queries from our extensive network of experienced professionals.

Select the correct answer.

What is the justification for step 2 in the solution process?

[tex]\[ 10x - 25 - 3x = 4x - 1 \][/tex]

Step 1: [tex]\[ 7x - 25 = 4x - 1 \][/tex]
Step 2: [tex]\[ 7x = 4x + 24 \][/tex]

A. the multiplication property of equality
B. the addition property of equality
C. the division property of equality
D. the subtraction property of equality


Sagot :

To determine the justification for Step 2 in the solution process, let's carefully analyze each step.

Step 1:
[tex]\[ 7x - 25 = 4x - 1 \][/tex]

We need to isolate the variable term on one side. To do this, we add 25 to both sides of the equation:

[tex]\[ 7x - 25 + 25 = 4x - 1 + 25 \][/tex]

This simplifies to:

[tex]\[ 7x = 4x + 24 \][/tex]

Thus, the process of moving from Step 1 to Step 2 involved adding 25 to both sides of the equation.

Hence, the property used in Step 2 is the addition property of equality.

So, the correct answer is:

B. the addition property of equality